Results 41 to 50 of about 166 (142)

Complex Ginzburg–Landau equation for time‐varying anisotropic media

Studies in Applied Mathematics, Volume 153, Issue 3, October 2024.
Abstract When extending the complex Ginzburg–Landau equation (CGLE) to more than one spatial dimension, there is an underlying question of whether one is capturing all the interesting physics inherent in these higher dimensions. Although spatial anisotropy is far less studied than its isotropic counterpart, anisotropy is fundamental in applications to ...
Robert A. Van Gorder
wiley   +1 more source

Normal Forms for Nonautonomous Nonlinear Difference Systems Under Nonuniform Dichotomy Spectrum

Journal of Function Spaces, Volume 2024, Issue 1, 2024.
In this paper, the normal forms of nonautonomous nonlinear systems with discrete time are investigated. We first employ the nonuniform kinematic similarity to prove the nonuniform dichotomy spectrum theorem, which is not based on linear integral manifolds in most of the previous works.
Ning Song, Richard I. Avery
wiley   +1 more source

Abstracts of the 79th Annual Meeting of the Japanese Cancer Association; 2020 Oct 1‐3; Hiroshima, Japan as Cancer Science, Supplement 1, Vol 112 (2021)

, 2021
Cancer Science, Volume 112, Issue S1, Page 1-1072, February 2021.
wiley   +1 more source

A Geometric Method for Detecting Chaotic Dynamics

, 1997
A new method of detection of chaos in dynamical systems generated by time-periodic nonautonomous differential equations is presented. It is based on the existence of some sets (called periodic isolating segments) in the extended phase space, satisfying ...
Srzednicki, Roman, Wójcik, Klaudiusz
core   +1 more source

Topological transitivity of nonautonomous dynamical systems

Topology and its Applications
This paper explores the concept of topological transitivity in nonautonomous dynamical systems, which are defined as sequences of continuous maps from a compact metric space to itself. It investigates various conditions (including intersection of any pair of open sets and existence of a dense orbit) that could be taken as definitions of the ...
openaire   +2 more sources

Topological conjugacy for unimodal nonautonomous discrete dynamical systems

, 2020
The goal of this article is to study how combinatorial equivalence implies topological conjugacy. For that, we introduce the concept of kneading sequences for nonautonomous discrete dynamical systems and show that these sequences are a complete invariant for topological conjugacy classes.
openaire   +2 more sources

Metric Properties of Attractors for Vector Fields via Bounded, Nonautonomous Control [PDF]

, 2019
University of Minnesota Ph.D. dissertation. May 2019. Major: Mathematics. Advisor: Richard McGehee. 1 computer file (PDF); vi, 51 pages.Attractors organize long-term behavior in dynamical systems, and their robustness against perturbations reflects both
Meyer, Katherine
core  

Attractors for general operators [PDF]

, 1998
summary:In this article we introduce the notion of a minimal attractor for families of operators that do not necessarily form semigroups. We then obtain some results on the existence of the minimal attractor. We also consider the nonautonomous case.
Miranville, Alain, Babin, Anatoli V., Chow, Shui-Nee   +2 more
core   +1 more source

On application of Rothe's fixed point theorem to study the controllability of fractional semilinear systems with delays [PDF]

, 2019
summary:The paper presents finite-dimensional dynamical control systems described by semilinear fractional-order state equations with multiple delays in the control and nonlinear function $f$.
Sikora, Beata
core   +1 more source

Topological sequence entropy of nonautonomous dynamical systems

Journal of Differential Equations
Let $f_{0,\infty}=\{f_n\}_{n=0}^{\infty}$ be a sequence of continuous self-maps on a compact metric space $X$. Firstly, we obtain the relations between topological sequence entropy of a nonautonomous dynamical system $(X,f_{0,\infty})$ and that of its finite-to-one extension.
openaire   +2 more sources